Yes, even if it was one of the original batch for Portugal which were diverted from standard German military production, it would still have the Portuguese crest with 1937 under it stamped on the side of the butt behind the take down disc.
As said by others it has been refinished, because of the blueing and the white highlighted codes etc., which was not done in the Mauser Oberndorf factory in 1937.
However, the codes and stamps look good, and as SInger B wrote, the matching capture screws are what stands out as being a good sign.
You really need to see how good the the stock markings are in comparison which will so how refinished it is or not. If the stock has been heavily sanded it will be a huge shame if all the metal is matching and genuine.
Remove the butt plate and see if there are any ink stamps on the butt end, should have makers code and date, although not all are thus marked.
If you remove the stock, the serial number should be stamped into the barrel channel, plus makers codes and date made.
For that money, if all matching metal parts and not heavily sanded original stock, its an absolute bargain.....![]()